A(-1,1) and P(a,b) are two points, where a and b are constants. The gradient of AP is 2. Find an expression for b in terms of a.

Question

A(-1,1) and P(a,b) are two points, where a and b are constants. The gradient of AP is 2. Find an expression for b in terms of a.

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RobertKer 2 weeks 2021-09-05T09:02:33+00:00 1 Answers 0 views 0

Answers ( )

  1. Answer:

    b = 2a + 3

    Step-by-step explanation:

    Here, we want to write an expression for b in terms of a

    Mathematically, the formula for the slope of a line is

    m = (y2-y1)/(x2-x1)

    m is 2

    (x1,y1) = (-1,1)

    (x2,y2) = (a,b)

    Substituting these values

    2 = (b-1)/(a-(-1))

    2 = b-1/a + 1

    2(a + 1) = b-1

    2a + 2 = b- 1

    2a + 2 + 1 = b

    b = 2a + 3

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )